What is the period of #f(t)=sin( ( 7 t ) /5 ) #?

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What is the period of #f(t)=sin( ( 7 t ) /5 ) #?

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Answer 1 · 2016-04-27T11:59:39

#(10/7)pi#

Explanation:

If f(t+P) = f(t) and P is the least possible vale, then f(t) is periodic with period P.
#sin k(t+(2pi)/k)= sin (kt+2pi)=sin kt#
So, the period of sin kt is #(2pi)/k#.
Here, k = #7/5#. So, the period is #(10pi)/7#..

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What is the period of #f(t)=sin( ( 7 t ) /5 ) #?

1 Answer

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